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Conjecture

Lemoine's Conjecture

Number Theory

Lemoine's conjecture, also sometimes known as Levy's conjecture, states that all odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime. It was proposed by Emile Lemoine in 1895. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Statement
All odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime. 1
Proposed Year
1895 1
Progress Toward Resolution
A proof claimed in 2017 by Agama and Gensel was later found to be flawed. 1
Classification
Resolution Status
Open 1
Prize Status
Prize Status (category)
No Prize Offered 1
Sources
1. Lemoine's Conjecture (Wikipedia)
Wikimedia Foundation
  • Lead section
    Emile Lemoine proposed the conjecture in 1895
  • Evidence
    A proof was claimed in 2017 by Agama and Gensel, but this was later found to be flawed
  • Lead section, first sentence
    all odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime
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